Greatest Common Factor of 5019/299, 1162/359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5019/299, 1162/359

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 5019/299,1162/359

Given fractions are 5019/299,1162/359

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 5019,1162

Greatest Common Factor of Numerators i.e. GCF of 5019,1162 is 7 .

LCM of Denominators means LCM of 299,359 as per the given fractions.

LCM of 299,359 is 107341 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5019,1162

GCF of Fractions 5019/299,1162/359 is 7/107341

7 5019, 1162
717, 166

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 5019,1162 By Matching Biggest Common Factor Method

Greatest Common Factor of 5019,1162 By Matching Biggest Common Factor Method

Factors of 5019

List of positive integer factors of 5019 that divides 5019 without a remainder.

1,3,7,21,239,717,1673,5019

Factors of 1162

List of positive integer factors of 1162 that divides 1162 without a remainder.

1,2,7,14,83,166,581,1162

Greatest Common Factor

We found the factors 5019,1162 . The biggest common factor number is the GCF number.
So the greatest common factor 5019,1162 is 7.

Lets's calculate LCM of 299,359

Given numbers has no common factors except 1. So, there LCM is their product i.e 107341

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/107341

Therefore, the GCF of Fractions 5019/299,1162/359 is 7/107341

Least Common Multiple of 299,359 with GCF Formula

Least Common Multiple of 299,359 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 299,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,359) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(299,359) x common factors =1 x 1 = 1

LCM(299,359) = ( 299 × 359 ) / 1

LCM(299,359) = 107341 / 1

LCM(299,359) = 107341


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5019/299, 1162/359

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 5019/299, 1162/359?

Answer: GCF of Numerators as per given numbers 5019/299, 1162/359 is

GCF of Numerators i.e. for 5019,1162 is 7

LCM of denominators i.e. for 299,359 is 107341.

Thus, GCF of Fractions is 7/107341.Finally, GCF of Fractions for 5019/299, 1162/359 is 7/107341.